Class 11 Mathematics - Chapter Conic Secrtions NCERT Solutions | Find the equation of the circle with cen
Find the equation of the circle with centre (0, 2) and radius 2
The equation of a circle with centre (h, k) and radius r is given as
(x – h)2 + (y – k)2 = r2
It is given that centre (h, k) = (0, 2) and radius (r) = 2.
Therefore, the equation of the circle is
(x – 0)2 + (y – 2)2 = 22
x2 + y2 + 4 – 4 y = 4
x2 + y2 – 4y = 0
More Questions From Class 11 Mathematics - Chapter Conic Secrtions
Popular Questions of Class 11 Mathematics
- Q:-
Solve 24x < 100, when
(i) x is a natural number. (ii) x is an integer. - Q:-
Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
- Q:-
A point is on the x-axis. What are its y-coordinates and z-coordinates?
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
Describe the sample space for the indicated experiment: A coin is tossed three times.
- Q:-
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
- Q:- Write the first five terms of the sequences whose nth term is an=n(n+2)
- Q:-
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
- Q:-
The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
- Q:-
A point is in the XZ-plane. What can you say about its y-coordinate?
Recently Viewed Questions of Class 11 Mathematics
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P2Rn = Sn
- Q:-
A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
- Q:-
Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment?
- Q:-
Given a G.P. with a = 729 and 7th term 64, determine S7.
- Q:-
If
Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:- Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:
(i) 5__A
(ii) 8__A
(iii) 0__A
(iv) 4__A
(v) 2__A
(vi) 10__A - Q:-
Solve each of the following equations:
x2 + 3 = 0 - Q:-
If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are
.
- All Chapters Of Class 11 Mathematics
- All Subjects Of Class 11